%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU500^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JNcZIqXPxH true
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:54:48 PM UTC 2025
% Result : Theorem 0.59s 0.81s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 6 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 191 ( 11 ~; 2 |; 0 &; 136 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 6 con; 0-2 aty)
% ( 19 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 68 ( 34 ^; 34 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(prop2set_type,type,
prop2set: $o > $i ).
thf('#sk1_type',type,
'#sk1': $o ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(prop2set,axiom,
( prop2set
= ( ^ [Xphi: $o] :
( dsetconstr @ ( powerset @ emptyset )
@ ^ [Xx: $i] : Xphi ) ) ) ).
thf(zip_derived_cl0,plain,
( prop2set
= ( ^ [Y0: $o] :
( dsetconstr @ ( powerset @ emptyset )
@ ^ [Y1: $i] : Y0 ) ) ),
inference(cnf,[status(esa)],[prop2set]) ).
thf(zip_derived_cl2,plain,
! [X1: $o] :
( ( prop2set @ X1 )
= ( ^ [Y0: $o] :
( dsetconstr @ ( powerset @ emptyset )
@ ^ [Y1: $i] : Y0 )
@ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X1: $o] :
( ( prop2set @ X1 )
= ( dsetconstr @ ( powerset @ emptyset )
@ ^ [Y0: $i] : X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).
thf(dsetconstrER,axiom,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ) ).
thf('0',plain,
( dsetconstrER
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(prop2setE,conjecture,
( dsetconstrER
=> ! [Xphi: $o,Xx: $i] :
( ( in @ Xx @ ( prop2set @ Xphi ) )
=> Xphi ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ! [X10: $o,X12: $i] :
( ( in @ X12 @ ( prop2set @ X10 ) )
=> X10 ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) )
=> ! [X10: $o,X12: $i] :
( ( in @ X12 @ ( prop2set @ X10 ) )
=> X10 ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( !!
@ ^ [Y0: $o] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( prop2set @ Y0 ) )
=> Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( !!
@ ^ [Y0: $o] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( prop2set @ Y0 ) )
=> Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( dsetconstr @ X2 @ Y0 ) )
=> ( Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X4: $i > $o] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( dsetconstr @ X2 @ X4 ) )
=> ( X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
=> ( X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
| ( X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : $false ) )
| ( ^ [Y0: $i] : $false
@ X1 ) ),
inference('ho.refine',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
~ ( in @ X1
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : $false ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
~ ( in @ X0 @ ( prop2set @ $false ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl23]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: $o] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( prop2set @ Y0 ) )
=> Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( prop2set @ '#sk1' ) )
=> '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
~ ( ( in @ '#sk2' @ ( prop2set @ '#sk1' ) )
=> '#sk1' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
in @ '#sk2' @ ( prop2set @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl13,plain,
~ '#sk1',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
in @ '#sk2' @ ( prop2set @ $false ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl13]) ).
thf(zip_derived_cl29,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU500^2 : TPTP v9.2.0. Released v3.7.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JNcZIqXPxH true
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:13:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.57/0.66 % Total configuration time : 828
% 0.57/0.66 % Estimated wc time : 1656
% 0.57/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.81 % Solved by lams/35_full_unif4.sh.
% 0.59/0.81 % done 7 iterations in 0.016s
% 0.59/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.81 % SZS output start Refutation
% See solution above
% 0.59/0.81
% 0.59/0.81
% 0.59/0.81 % Terminating...
% 1.35/0.90 % Runner terminated.
% 1.35/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------